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Transport Equations for the Wigner Distribution Function
Optica Acta: International Journal of Optics, 1979Equations have been derived which describe the transport of the Wigner distribution function in homogeneous and inhomogeneous media. In a weakly inhomogeneous medium, the transport equation can be formulated in geometrical optical terms as follows: along a geometrical optical light ray, the Wigner distribution function has a constant value.
Mj Martin Bastiaans
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Fractional Wigner distribution function
Journal of the Optical Society of America A, 1996The fractional Wigner distribution function, introduced in this paper starting from the fractional Fourier transform, is found to be the appropriate phase-space distribution function for light-beam characterization in the near-field diffraction regime.
D. Dragoman
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The Wigner distribution function—50th birthday
Foundations of Physics, 1983We discuss the profound influence which the Wigner distribution function has had in many areas of physics during its fifty years of existence.
R. F. O’Connell
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The Wigner Distribution Function of Partially Coherent Light
Optica Acta: International Journal of Optics, 1981The concept of the Wigner distribution function is applied to stochastic signals, in particular to partially coherent light. Relations between the Wigner distribution function, the power spectrum and related subjects are formulated. Some inequalities for the Wigner distribution function are derived; one of these inequalities leads to the definition of ...
Mj Martin Bastiaans
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Wigner distribution function for finite systems
Journal of Mathematical Physics, 1998We construct a Wigner distribution function for finite data sets. It is based on a finite optical system; a linear wave guide where the finite number of discrete sensors is equal to the number of modes which the guide can carry. The dynamical group for this model is SU(2) and the wave functions are sets of N=2l+1 data points.
Atakishiyev, Natig M. +2 more
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Free Metaplectic Wigner Distribution: Definition and Heisenberg’s Uncertainty Principles
IEEE Transactions on Information Theory, 2023Inspired by a definition of the closed-form instantaneous cross-correlation Wigner distribution (Zhang, 2019), we generalize the notion of Wigner distribution to the so-called free metaplectic Wigner distribution (FMWD) through three free metaplectic ...
Zhichao Zhang +3 more
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The role of Wigner Distribution Function in Non-Line-of-Sight Imaging
International Conference on Computational Photography, 2020Non-Line-of-Sight imaging has been linked to wave diffraction by the recent phasor field method. In wave optics, the Wigner Distribution Function description for an optical imaging system is a powerful analytical tool for modeling the imaging process ...
Xiaochun Liu, A. Velten
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The Wigner distribution function
Physics Letters A, 1982Abstract In this letter, the relationship between the characteristic function for two arbitrary noncommuting observables and a generalized Wigner distribution function is established. This distribution function is shown to have no simple interpretation in the sense of probability theory but, in lieu of its special properties, can be used directly for
G.J. Iafrate, H.L. Grubin, D.K. Ferry
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Analytic Wigner distribution function for tunneling and trajectory models
Journal of Applied Physics, 2019The Wigner function is assembled from analytic wave functions for a one-dimensional closed system (well with infinite barriers). A sudden change in the boundary potentials allows for the investigation of time-dependent effects in an analytically solvable
K. Jensen +4 more
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Wigner Distribution Function/Ambiguity Function Processor
SPIE Proceedings, 1988The Wigner Distribution Function and Ambiguity Function are both two-dimensional time-frequency representations of a one dimensional signal. In spite of the similarity of the functional definition, however, the information is encoded in the two functions very differently.
Alan A. Rakes +3 more
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